Factors of 140
The factors of 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, and 140. In total, 140 has 12 factors. Its prime factorization is 2² × 5 × 7, and the sum of all its factors is 336.
All factors of 140
Here are all 12 factors of 140, listed from smallest to largest.
Factor pairs of 140
These 6 pairs of whole numbers each multiply to give 140.
Prime factorization of 140
Dividing 140 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 140 are 2, 5, 7. To factorize any other number, use the prime factorization calculator.
Factor tree of 140
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 140
| Number of factors | 12 |
|---|---|
| Sum of factors | 336 |
| Sum of proper factors | 196 |
| Prime factorization | 2² × 5 × 7 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 140 interesting
- 140 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 6 different ways.
- 140 is an abundant number: its proper factors sum to 196, which is 56 more than 140 itself.
- 140 has 3 distinct prime factors (2, 5, 7), which is why it has so many divisors.
How to find the factors of 140 yourself
Divide 140 by each whole number starting from 1. Whenever the division leaves no remainder, both the divisor and the quotient are factors. You only need to test up to √140 ≈ 11.83, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 140.
Frequently asked questions about 140
What are the factors of 140?
Is 140 a prime number?
What is the prime factorization of 140?
What two numbers multiply to give 140?
What is the sum of the factors of 140?
Is 140 a perfect square?
What is the largest factor of 140 other than itself?
How many factors does 140 have?
Explore more
Try another number in the factor calculator, break 140 down further with the prime factorization calculator, or compare 140 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.